The Ga Itatilaka And Its Commentary
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The Ga Itatilaka And Its Commentary
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Author : Alessandra Petrocchi
language : en
Publisher: Routledge
Release Date : 2019-03-13
The Ga Itatilaka And Its Commentary written by Alessandra Petrocchi and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-13 with History categories.
The Gaṇitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Gaṇitatilaka by Śrīpati and its Sanskrit commentary by the Jaina monk Siṃhatilakasūri (13th century CE). Siṃhatilakasūri’s commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.
The Babylonian Astronomical Compendium Mul Apin
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Author : Hermann Hunger
language : en
Publisher:
Release Date : 2019
The Babylonian Astronomical Compendium Mul Apin written by Hermann Hunger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Astronomy, Ancient categories.
About the MUL.APIN: astronomical data and lists of stars, from ancient Mesopotamia.
Mathematics In India
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Author : Kim Plofker
language : en
Publisher: Princeton University Press
Release Date : 2008-12-29
Mathematics In India written by Kim Plofker and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-29 with Mathematics categories.
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).
A Concise History Of Science In India
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Author : D. M. Bose
language : en
Publisher:
Release Date : 2009
A Concise History Of Science In India written by D. M. Bose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Science categories.
Geometry In Ancient And Medieval India
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Author : T. A. Sarasvati Amma
language : en
Publisher: Motilal Banarsidass Publ.
Release Date : 1999
Geometry In Ancient And Medieval India written by T. A. Sarasvati Amma and has been published by Motilal Banarsidass Publ. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with History categories.
This book is a geometrical survey of the Sanskrit and Prakrt scientific and quasi-scientific literature of India, beginning with the Vedic literature and ending with the early part of the 17th century. It deals in detail with the Sulbasutras in the Vedic literature, with the mathematical parts of Jaina Canonical works and of the Hindu Siddhantas and with the contributions to geometry made by the astronomer mathematicians Aryabhata I & II, Sripati, Bhaskara I & II, Sangamagrama Madhava, Paramesvara, Nilakantha, his disciples and a host of others. The works of the mathematicians Mahavira, Sridhara and Narayana Pandita and the Bakshali Manuscript have also been studied. The work seeks to explode the theory that the Indian mathematical genius was predominantly algebraic and computational and that it eschewed proofs and rationales. There was a school in India which delighted to demonstrate even algebraical results geometrically. In their search for a sufficiently good approximation for the value of pie Indian mathematicians had discovered the tool of integration. Which they used equally effectively for finding the surface area and volume of a sphere and in other fields. This discovery of integration was the sequel of the inextricable blending of geometry and series mathematics.
The Positive Sciences Of The Ancient Hindus
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Author : Brajendranath Seal
language : en
Publisher: Motilal Banarsidass
Release Date : 2017-01-01
The Positive Sciences Of The Ancient Hindus written by Brajendranath Seal and has been published by Motilal Banarsidass this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-01 with Philosophy categories.
The author's direct aim in the present work is to furnish the historians of the special sciences with new material which will serve to widen the scope of their survey. The Hindus no less than the Greeks have shared in the work of constructing scientific concepts and methods in the investigation of physical phenomena, as well as of building up a body of positive knowledge which has been applied to industrial technique; and Hindu scientific ideas and methodology (e.g. the inductive method or method of algebraic analysis) have deeply influenced the course of natural philosophy in Asia-in the East as well as the West-in China and Japan, as well as in the Saracen Empire. The author has undertaken a comparative estimate of Greek and Hindu science. Hindu Philosophy om its empirical side was dominated by geometrical concepts and methods. The author has cared to see that the Sanskrit philosophic-scientific terminology, however difficult from its technical character, is rendered exceedingly precise, consistent, and expressive.
Bhagava
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Author : Jozef Deleu
language : en
Publisher: Motilal Banarsidass Publ.
Release Date : 1996
Bhagava written by Jozef Deleu and has been published by Motilal Banarsidass Publ. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Religion categories.
The Viyahapannatti (Vyakhyaprajnapati) or Bhagavai (Bhagavati) is the fifth Anga of the Jaina Svetambara Canon. It is as the title says a Proclamation of Explanations` viz. of explanations given as a rule by Mahavira the founder of Jainism, in answer to questions raised by his disciples in most cases Goyama Indabhui. Experts have described this monumental work as an omnium gatherum, a tohu bohu etc.: its questions and answers, as a matter of fact, deal with a bewildering variety of topics, embracing all the important domains of the Jaina doctrine; moreover its teachings are presented in many different forms.
Studies In The History Of The Exact Sciences In Honour Of David Pingree
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Author : Jan P. Hogendijk
language : en
Publisher: BRILL
Release Date : 2004-02-01
Studies In The History Of The Exact Sciences In Honour Of David Pingree written by Jan P. Hogendijk and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-01 with Philosophy categories.
This collection of essays reflects the wide range of David Pingree's expertise in the scientific texts (above all, concerning astronomy and astrology) of Ancient Mesopotamia, Greece, India, Persia, and the medieval Arabic, Hebrew and Latin traditions. Both theoretical aspects and the practical applications of the exact sciences-in time keeping, prediction of the future, and the operation of magic-are dealt with. The book includes several critical editions and translations of hitherto unknown or understudied texts, and a particular emphasis is on the diffusion of scientific learning from one culture to another, and through time. Above all, the essays show the variety and sophistication of the exact sciences in non-Western societies in pre-modern times.
Early Chinese Medical Literature
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Author : Donald Harper
language : en
Publisher: Routledge
Release Date : 2013-10-28
Early Chinese Medical Literature written by Donald Harper and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-28 with Social Science categories.
First published in 1998. This study uses the Mawangdui Medical Manuscripts to form a basis for information about early Chinese medical literature. Since the 1970S there has been a succession of manuscript discoveries in late-fourth to second century B.C. tombs in several regions of China, the provinces of Hubei and Hunan being particularly fertile ground for manuscripts. The medical Mawangdui manuscripts are part of a large cache of manuscripts discovered in 1973 in Mawangdui tomb 3, situated in the north-eastern part of the city of Changsha, Hunan.
The Mathematics Of India
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Author : P. P. Divakaran
language : en
Publisher: Springer
Release Date : 2018-09-19
The Mathematics Of India written by P. P. Divakaran and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-19 with Mathematics categories.
This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.